Generalization of the power means and their inequalities

DOI10.1016/0022-247X(91)90339-2zbMath0753.26009MaRDI QIDQ1189681

Josip E. Pečarić

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hölder inequalitygeneralizationconverse inequalityMinkowski inequalitypower meansmean inequalitypositive nonlinear functionals

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items

A new improvement of Hölder inequality via isotonic linear functionals ⋮ Two optimal double inequalities between power mean and logarithmic mean ⋮ Bounds of the Neuman-Sándor mean using power and identric means ⋮ A best possible double inequality for power mean ⋮ Optimal inequalities for power means ⋮ Sharp power mean bounds for the one-parameter harmonic mean ⋮ Two sharp inequalities for power mean, geometric mean, and harmonic mean ⋮ Optimal power mean bounds for the weighted geometric mean of classical means ⋮ Optimal inequalities among various means of two arguments ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means ⋮ Aczél-Chebyshev type inequality for positive linear functions ⋮ Generalization and sharpness of the power means inequality and their applications ⋮ Note on generalization of power means and their inequalities

Cites Work

• On Jessen's inequality for convex functions
• On Jessen's inequality for convex functions. II
• On Jessen's inequality for convex functions. III
• On Hölder's inequalities for convexity
• Unnamed Item

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